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W2964309441 abstract "We prove the extensions of Birkhoff’s and Cotlar’s ergodic theorems to multi-dimensional polynomial subsets of prime numbers $$mathbb {P}^k$$ . We deduce them from $$ell ^pbig (mathbb {Z}^dbig )$$ -boundedness of r-variational seminorms for the corresponding discrete operators of Radon type, where $$p > 1$$ and $$r > 2$$ ." @default.
W2964309441 created "2019-07-30" @default.
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W2964309441 date "2018-11-16" @default.
W2964309441 modified "2023-10-14" @default.
W2964309441 title "Variational estimates for discrete operators modeled on multi-dimensional polynomial subsets of primes" @default.
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W2964309441 doi "https://doi.org/10.1007/s00208-018-1777-6" @default.
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